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Supersolidity is an intriguing concept. It combines the property of superfluid flow with the long-range spatial periodicity of solids, two properties which are often mutually exclusive. The original discussion of quantum crystals and…

Spin-orbit-coupled Bose-Einstein condensates are a flexible experimental platform to engineer synthetic quantum many-body systems. In particular, they host the so-called stripe phase, an instance of a supersolid state of matter. The…

Quantum Gases · Physics 2026-03-24 C. S. Chisholm , S. Hirthe , V. B. Makhalov , R. Ramos , R. Vatré , J. Cabedo , A. Celi , L. Tarruell

We numerically investigate the ground state phases and quench dynamics of spin-orbit coupled spin-1 Bose-Einstein condensates with ferromagnetic and antiferromagnetic interactions. For finite Rabi coupling, the system exhibits…

The recent realization of synthetic spin-orbit coupling represents an outstanding achievement in the physics of ultracold quantum gases. In this review we explore the properties of a spin-orbit-coupled Bose-Einstein condensate with equal…

Quantum Gases · Physics 2016-04-05 Yun Li , Giovanni I. Martone , Sandro Stringari

In the past few decades, the search for supersolid-like phases has attracted great attention in condensed matter and ultracold atom communities. Here we experimentally demonstrate a route for realizing a superfluid stripe-phase in a…

We theoretically investigate a three-dimensional weakly interacting Bose gas with one-dimensional Raman-type spin-orbit coupling at zero temperature. By employing an improved ansatz, including high-order harmonics in the stripe phase, we…

Quantum Gases · Physics 2024-08-26 Xiao-Long Chen , Jia Wang , Yun Li , Xia-Ji Liu , Hui Hu

We propose that novel superfluid with supersolid-like properties - angular stripe phase - can be realized in a pancake-like spin-1/2 Bose gas with spin-orbital-angular-momentum coupling. We predict a rich ground-state phase diagram,…

Quantum Gases · Physics 2024-08-26 Xiao-Long Chen , Shi-Guo Peng , Peng Zou , Xia-Ji Liu , Hui Hu

The phase diagram of a spin-orbit-coupled two-component Bose gas includes a supersolid stripe phase, which is featuring density modulations along the direction of the spin-orbit coupling. This phase has been recently found experimentally…

Quantum Gases · Physics 2019-01-25 Giovanni I. Martone , Georgy V. Shlyapnikov

Despite ground-breaking observations of supersolidity in spin-orbit-coupled Bose-Einstein condensates, until now the dynamics of the emerging spatially periodic density modulations has been vastly unexplored. Here, we demonstrate the…

We discuss the superfluid properties of a Bose-Einstein condensed gas with spin-orbit coupling, recently realized in experiments. We find a finite normal fluid density $\rho_n$ at zero temperature which turns out to be a function of the…

Quantum Gases · Physics 2016-10-05 Yi-Cai Zhang , Zeng-Qiang Yu , Tai Kai Ng , Shizhong Zhang , Lev Pitaevskii , Sandro Stringari

Soon after its theoretical prediction, striped-density states in the presence of synthetic spin-orbit coupling were realized in Bose-Einstein condensates of ultracold neutral atoms [J.-R. Li et al., Nature \textbf{543}, 91 (2017)]. The…

Quantum Gases · Physics 2021-02-24 Haibo Qiu , Dengling Zhang , Antonio Muñoz Mateo

We consider a spin-$1/2$ Bose-Einstein condensate with equal Rashba and Dresselhaus spin-orbit coupling. After reviewing some relevant features of the quantum phases of the system, we present a short study on how their properties are…

Quantum Gases · Physics 2015-10-06 Giovanni I. Martone

In Bose-Einstein condensates (BEC), spin-orbit coupling (SOC) produces supersolidity. It is a peculiar state of matter, which, in addition to the superfluid behaviour shows periodic density modulation typical for crystals. Here, we report…

We developed functional integral formulation for the stripe phase of a spinor Bose-Einstein condensates with Rashba spin-orbit coupling. The excitation spectrum is found to exhibit double gapless band structures, identified to be two…

Quantum Gases · Physics 2018-04-05 Renyuan Liao

The phase diagram of a Bose-Einstein condensate with Raman-induced spin-orbit coupling includes a stripe phase with supersolid features. In this work we develop a perturbation approach to study the ground state and the Bogoliubov modes of…

Quantum Gases · Physics 2021-11-24 Giovanni I. Martone , Sandro Stringari

We report the first numerical prediction of a "spin microemulsion" -- a phase with undulating spin domains resembling classical bicontinuous oil-water-surfactant emulsions -- in two-dimensional systems of spinor Bose-Einstein condensates…

Quantum Gases · Physics 2023-10-31 Ethan C. McGarrigle , Kris T. Delaney , Leon Balents , Glenn H. Fredrickson

Supersolid is a special state of matter with both superfluid properties and spontaneous modulation of particle density. In this paper, we focus on the supersolid stripe phase realized in a spin-orbit coupled Bose-Einstein condensate and…

Quantum Gases · Physics 2023-05-09 Wei-Lei Xia , Lei Chen , Tian-Tian Li , Yongping Zhang , Qizhong Zhu

Supersolid is a long-sought exotic phase of matter, which is characterized by the coexistence of a diagonal long-range order of solid and an off-diagonal long-range order of superfluid. Possible candidates to realize such a phase have been…

Quantum Gases · Physics 2016-08-10 Wei Han , Gediminas Juzeliūnas , Wei Zhang , Wu-Ming Liu

The striped phase exhibited by a spin-$1/2$ Bose-Einstein condensate with spin-orbit coupling is characterized by the spontaneous breaking of two continuous symmetries: gauge and translational symmetry. This is a peculiar feature of…

Quantum Gases · Physics 2014-12-03 Giovanni I. Martone , Yun Li , Sandro Stringari

The coupled dynamics of the atom and photon fields in optical ring cavities with two counter-propagating modes give rise to both spin-orbit interactions as well as long-ranged interactions between atoms of a many-body system. At zero…

Quantum Gases · Physics 2015-08-19 Farokh Mivehvar , David L. Feder
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